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adjectivenounmath Favorites
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Feb 5, 2015
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adjectivenounmath Favorites
Topic: favorites
Community Video
Jun 5, 2012 Herbert I. Gross
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Professor Herb Gross presents solutions to problems on how to use formulas; arithmetic as the gateway to algebra. See more at www.adjectivenounmath.com.
Topics: Arithmetic, formulas, algebra, solutions
Community Video
Jun 5, 2012 Herbert I. Gross
movies

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Professor Herb Gross presents solutions to problems on non-constant rates. See more at www.adjectivenounmath.com
Topics: Arithmetic, math problems, non-constant rates, solutions
Community Video
Jun 4, 2012 Herbert I. Gross
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Professor Herb Gross presents solutions to problems on non-constant rates. See www.adjectivenounmath.com.
Topics: Arithmetic, Rates, problems, solutions
Community Video
Jun 4, 2012 Herbert I. Gross
movies

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Professor Herb Gross presents solutions to problems on Constant Rate and Calculator Use. See www.adjectivenounmath.com.
Topics: Arithmetic, Rational Numbers, Common Fractions, Rates
Community Video
Jun 4, 2012 Herbert I. Gross
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Professor Herb Gross presents solutions to problems involving arithmetic and non-constant rates. See www.adjectivenounmath.com.
Topics: Arithmetic, non-constant rates, solutions
Community Video
Jun 4, 2012 Herbert I. Gross
movies

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Professor Herb Gross presents solutions to problems on Quotients of Decimal Fractions. See www.adjectivenounmath.com.
Topics: Arithmetic, fractions, decimal fractions, quotients
Community Video
Jun 4, 2012 Herbert I. Gross
movies

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Professor Herb Gross presents solutions to problems on constant rates with and without a calculator. See www.adjectivenounmath.com.
Topics: Arithmetic, Constant Rates, Rational Numbers, Fractions
Community Video
Jun 3, 2012 Herbert I. Gross
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Professor Herb Gross presents solutions to problems on Rational Numbers as Decimal Fractions. See www.adjectivenounmath.com
Topics: Arithmetic, Rational Numbers, Decimal Fractions
Community Video
Jun 3, 2012 Herbert I. Gross
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Professor Herb Gross presents solutions to problems on Rational Numbers - Percents and Mixed Numbers. See www.adjectivenounmath.com.
Topics: Arithmetic, Common Fractions, Percents, Mixed Numbers, Rational Numbers
Community Video
Jun 3, 2012 Professor Herb Gross
movies

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Professor Herb Gross presents solutions to problems on Common Fractions. See www.adjectivenounmath.com.
Topics: Arithmetic, Common Fractions, Solutions
Community Video
Jun 3, 2012 Professor Herb Gross
movies

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Professor Herb Gross presents solutions to problems on Common Fractions. See www.adjectivenounmath.com
Topics: Arithmetic, Common Fractions, Solutions, Problems
Community Video
Jun 3, 2012 Professor Herb Gross
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Professor Herb Gross preseents the solutions to Exercise Set3, Form B (Addition and Subtraction of Whole Numbers). See www.adjectivenounmath.com.
Topics: Addition, Subtraction, Whole Numbers, Solutions
Community Video
movies

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Professor Herb Gross presents solutions to problems on Multiplying and Factoring Whole Numbers. See www.adjectivenounmath.com
Topics: Multiplication, Factoring, Whole Numbers, Arithmetic examples
Community Video
Jun 3, 2012 Professor Herb Gross
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Professor Herb Gross explains the solutions to Arithmetic Exercise Set 1; see www.adjectivenounath.com for the whole course.
Topics: Arithmetic, place value, solutions
Community Video
Jan 4, 2012 Professor Herb Gross
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Professor Herb Gross describes how to best use the material on www.lovemath.org to discover the adjecvtive noun approach to Arithmetic. This material is particularly geared towards elementary school teachers (including home schoolers) although anyone interested in the "why" of arithmetic will benefit.
favoritefavoritefavoritefavoritefavorite ( 1 reviews )
Topics: Math, Home School, Arithmetic, Math As A Second Language, Adjective Noun Math, teachers, math
Community Video
Jan 2, 2012 Professor Herb Gross
movies

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Professor Herb Gross describes how to best use the material on www.lovemath.org. This material is particularly geared towards elementary school teachers (including home schoolers) although anyone interested in the "why" of arithmetic will benefit.
Topics: Arithmetic, Adjective Noun Math, teachers, Math, classroom activiites, home school
Community Video
Jan 2, 2012 Professor Herb Gross
movies

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Professor Herb Gross describes how to best use the material on www.lovemath.org to discover the adjecvtive noun approach to Arithmetic. This material is particularly geared towards elementary school teachers (including home schoolers) although anyone interested in the "why" of arithmetic will benefit.
Topics: Arithmetic, Adjective Noun Math, teachers, Math, classroom activiites, home school
Community Video
Jul 4, 2011 Professor Herbert I. Gross
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Herb Gross defines and illustrates the Fourier representation of a piecewise continuous function.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jul 3, 2011 Professor Herbert I. Gross
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Herb Gross axiomatically defines the dot product as the map of ordered pairs of vectors into the real numberss. Using this definition, Herb next defines and shows how and why to find an orthonormal basis.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jul 3, 2011 Professor Herbert I. Gross
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Herb Gross defines an eigenvector of a linear map f as a vector x that is mapped into a constant multiple, c, of itself. The value of c is called the eigenvalue (or characteristic) for the corresponding vector x.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jul 3, 2011 Professor Herbert I. Gross
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Herb Gross examines the determinant in the framework of vector spaces. Using the properties that uniquely define a determinant, he shows us how the value of a particular determinant tells us whether a given set of vectors is a basis of a given vector space with a known basis.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jul 2, 2011 Professor Herbert I. Gross
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Herb Gross defines Linear Transformations from vector space V into vector space W. He also defines and gives examples of the null space of such a map and also illustrates the matrix representation of a linear transformation relative to a given basis.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jul 1, 2011 Professor Herb Gross
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Herb Gross gives a short review of bases and dimension. He then does an example to illustrate how to determine if the space spanned by 4 vectors belonging to a given 4-dimensional vector space V is equal to or a lower-dimensional subspace of V by using the row-reduced matrix technique.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jul 1, 2011 Professor Herb Gross
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Herb Gross describes spanning vectors: vectors whose linear combinations generate a vector space. Herb also defines linear dependence and the dimension of a vector space.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jul 1, 2011 Professor Herb Gross
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Herb Gross describes and illustrates the axiomatic definition of a vector space and discusses subspaces.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 30, 2011 Professor Herbert I. Gross
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Herb Gross demonstrates the meaning of multiplication and division and illustrates how to best perform these operations. He also shows techniques that use the meaning of multiplication and division as well as algorithms for the same processes.
Topics: Classic Arithmetic, AdjectiveNounMath, Herb Gross
Community Video
Jun 27, 2011 Professor Herbert I. Gross
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Herb Gross describes and justifies the use of LaPlace Transforms as a method of solving linear differential equations with given initial conditions.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 27, 2011 Professor Herbert I. Gross
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Herb Gross uses the method of Variation of Parameters to find a particular solution of linear homogeneous order 2 differential equations when the general solution is known.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 27, 2011 Professor Herbert I. Gross
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Herb Gross show how to find the general solution of a liner, homogeneous differential equation of order 2 when the coefficients are analytic functions.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 26, 2011 Professor Herbert I. Gross
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Herb Gross shows how to find particular (and general) solutions of second order linear differential equations with constant coefficients using the method of undetermined coefficients.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 25, 2011 Professor Herbert I. Gross
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Herb Gross talks about a specific type of Diff. Eqs. namely those that are linear, 2nd order, homogeneous and with constant coefficients. He gives examples of the three types of possible general solutions and then shows why they ARE the solutions.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 25, 2011 Professor Herbert I. Gross
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Herb Gross defines and illustrates linear differential equations of order 2. Herb also shows how to find solutions of this type of equation.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 25, 2011 Professor Herbert I. Gross
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Herb Gross defines and illustrates the different types of solutions of a differential equation: general solutions, psrticular solutions and singular solutions.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 21, 2011 Professor Herbert I. Gross
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Herb Gross generalizes the definition of the integral of a real-valued function of a real variable to the integral of a complex-valued function of a complex variable and examines the ramifications of this generalization.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 20, 2011 Professor Herbert I. Gross
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Herb Gross defines complex valued functions by means of power series expansions. He shows us how the amazing identity of DeMoivre is derived.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 20, 2011 Professor Herbert I. Gross
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Herb Gross defines and explains what is meant by a conformal mapping. Prof. Gross shows that analytic functions w = f(z) for which f'(z) â  0 are invertible. He then talks about the fact that if f(x,y) = u + iv is analytic, and f'(z) â  0, then the mapping from the x-y plane into the u-v plane preserves solutions to Laplace's Equation. Further, since f is invertible, solutions in the u-v plane can be mapped back to the original x-y space.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 20, 2011 Professor Herbert I. Gross
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Professor Herb Gross discusses functions of a complex variable, limits, derivatives and the Cauchy-Riemann conditions. Functions of a complex variable that are differentiable everywhere are called analytic functions. In addition, Herb shows that the real and impaginary parts of an analytic function are the only functions that satisfy Laplace's equation.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 13, 2011 Professor Herbert I. Gross
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Herb Gross explains the need to define complex numbers. He then defines the structure of the system of complex numbers including addition, subtraction, multiplication, division, powers and roots and shows that the system is closed under all these operations.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 4, 2011 Professor Herbert I. Gross
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Herb Gross discusses Green's Theorem: the relationship between line integrals and double integrals over a region in 2-space.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 4, 2011 Professor Herbert I. Gross
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There is more than one type of integral in calculus of more than one variable. In this lesson, Herb Gross discusses line integrals.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 3, 2011 Professor Herbert I. Gross
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Herb Gross illustrates how the Jacobian arises when changing coordinates in order to calculate a double integral.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 3, 2011 Professor Herbert I. Gross
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Herb Gross illustrates the equivalence of the fundamental theorem of the calculus of one variable to the fundamental theorem of the calculus of several variables.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Jun 3, 2011 Professor Herbert I. Gross
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Herb Gross tesches us how to calculate infinite double (multiple) sums (for topics in calculus of several variables). This topic is analogous to the use of infinite sums in calculus of a single variable.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 23, 2011 Professor Herbert I. Gross
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With our knowledge of Matrix Algebra to help, Herb Gross teaches how to find maxima and minima of functions of several real variables.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 22, 2011 Professor Herbert I. Gross
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Herb Gross demonstrates how to invert systems of non-linear equations.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 22, 2011 Professor Herbert I. Gross
movies

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Herb Gross illustrates how to invert a square matrix and its relevance to Calculus of several variables.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 22, 2011 Professor Herbert I. Gross
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Herb Gross describes the mathematical structure of matrix algebra.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 18, 2011 Professor Herbert I. Gross
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Herb Gross considers linearity in spaces of greater than 2 variables including a discussion of local linearity.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 6, 2011 Professor Herbert I. Gross
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Herb Gross show how the Chain Rule is involved in finding some integrals involving parameters. Please join us at www.adjectivenounmath.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 6, 2011 Professor Herbert I. Gross
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Herb Gross uses the Chain Rule in evaluating Integrals Involving Parameters. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 6, 2011 Professor Herbert I. Gross
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Herb Gross shows examples of the chain rule for several variables. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 6, 2011 Professor Herbert I. Gross
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Herb Gross discusses Exact Differentials. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 6, 2011 Professor Herbert I. Gross
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Herb Gross illustrates the use of the chain rule in certain integration problems. Come join us at www.adjectivenoun.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 5, 2011 Professor Herbert I. Gross
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Herb Gross defines the Directional Derivative and demonstrates how to calculate it. Herb also emphasizes the importance of this topic in the study of Calculus of Several Variables. Come join us at www.adjectivenounmath.com and see lots of more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 5, 2011 Professor Herbert I. Gross
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Herb Gross introduces us to the traditional Calculus of Several Variables. Come join us at wwww.adjectivenounmath.com to see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 4, 2011 Professor Herbert I. Gross
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Herb Gross describes n-Dimensional Vector Spaces relating definitions to the concept of a mathematical structure.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 4, 2011 Professor Herbert I. Gross
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Herb Gross describes Vectors and Polar Coordinates. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 4, 2011 Professor Herbert I. Gross
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Herb Gross defines and demonstrates the use polar coordinates. Come visit us at www.adjectivenounmath.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 4, 2011 Professor Herbert I. Gross
movies

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Herb Gross discuss tangential and normal vectors to a point on a function in 2-space analagous to x-y coordinates. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 3, 2011 Professor Herbert I. Gross
movies

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Herb Gross teaches the topic of Vector Functions of Scalar Variables. Come join us at wwww.adjectivenounmath.com to see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 3, 2011 Professor Herbert I. Gross
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Herb Gross discusses the topic of lines and planes in 3-dimensional space. Come join us www.adjectivenounmath.com to see lots more!
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 2, 2011 Professor Herbert I. Gross
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Herb Gross defines the cross product of two vectors.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 2, 2011 Professor Herbert I. Gross
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Herb Gross motivates the definition of the dot product and shows how to calculate the dot product of two vectors in 3-space.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 1, 2011 Professor Herbert I. Gross
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Herb Gross introduces 3-dimensional vectors.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 1, 2011 Professor Herbert I. Gross
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Herb Gross reviews the definition of vectors and vector arithmetic.
favoritefavoritefavoritefavoritefavorite ( 1 reviews )
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
May 1, 2011 Professor Herbert I. Gross
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Herb Gross revisits vector arithmetic.
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Apr 30, 2011 Professor Herbert I. Gross
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Herb Gross presents Calculus Revisited part 2 - functions of several variables. Herb discusses the over-arching theme "The Game of Mathematics"
Topics: Calculus, Calculus Revisited, Herb Gross
Community Video
Apr 30, 2011 Professor Herbert I. Gross
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Herb Gross demonstrates a proof of the Pythagorean Theorem and its relevance to quadratic equations. Come visit us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 29, 2011 Professor Herbert I. Gross
movies

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Herb Gross shows up an application of Non-Real numbers to Quadratic Equations. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 29, 2011 Professor Herbert I. Gross
movies

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Herb Gross introduces a new number: the square root of -1. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 29, 2011 Professor Herbert I. Gross
movies

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Herb Gross introduces the concept of angles as a measure of direction. Come visit us at www.adjectivenounmath.com as see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 29, 2011 Professor Herbert I. Gross
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Herb Gross explains why real-world problems leads to the need to extend the number system. He also introduces vectors and the concept of i. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 29, 2011 Professor Herbert I. Gross
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Herb Gross demonstrates how graphing techniques applied to quadratic equations can help you find how many solutions, if any, an equation has. Herb also demonstrates how to locate solutions if there are any. Come join us at www.adjectivenounmath.com to see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 29, 2011 Professor Herbert I. Gross
movies

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Herb Gross demonstrates how to locate solutions of equations by graphical techniques. Come join us at www.adjectivenoun.math to see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 28, 2011 Professor Herbert I. Gross
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Herb Gross explains the Quadratic Formula and how it is used. Come visit us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 28, 2011 Professor Herbert I. Gross
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Herb Gross demonstrates how to multiply polynomials. Come join us at www.adjectivenounmath.com to see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 28, 2011 Professor Herbert I. Gross
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Learn how to solve Quadratic Equations by completing the square as taught by Herb Gross. Come join us at wwww.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 28, 2011 Professor Herbert I. Gross
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Herb Gross introduces Quadratic Equations. Come join us at www.adjectivenounmath.com to see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 26, 2011 Professor Herbert I. Gross
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Herb Gross shows how to factor expressions and how to use factoring as a tool to solve equations.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 26, 2011 Professor Herbert I. Gross
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Herb Gross shows us how to use and recognize special products of polynomials. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 26, 2011 Professor Herbert I. Gross
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Herb Gross demonstrates factoring - an important tool in solving equations. Visit us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 24, 2011 Professor Herbert I. Gross
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Watch Herb Gross teach how to divide polynomials. Please visit us at www.adjectivenounmath.com to see much more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Apr 23, 2011 Professor Herbert I. Gross
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Professor Herb Gross tells us all about adding and subtracting polynomials. Come join us at www.adjectivenounmath.com and see lots more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Apr 23, 2011 Professor Herbert I. Gross
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Professor Herb Gross introduces the topic of Polynomials. Come join us at www.adjectivenounmath.com and see much more!
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Feb 2, 2011 Professor Herbert I. Gross
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Herb Gross explains some benefits of using Algebra to solve word problems (such as knowing when there is more than one solution) and the need for good reading comprehension when solving more complex problems. He solves problems similar to those in video 23 - this time using Algebra. Please have a look at www.adjectivenounmath.com for more resources.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Feb 2, 2011 Professor Herbert I. Gross
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Herb Gross demonstrates that you do not need Algebra to solve word problems. He demonstrates how to solve word problems by using trial and error and critical thinking. See much more like this at www.adjectivenounmath.com
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Feb 1, 2011 Professor Herbert I. Gross
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Herb Gross explains more about solving systems of linear equations. First, he describes how to change a system that may appear difficult because of the coefficients of the variables into a system that is easier to manipulate using strategies we are familiar with. The idea of using strategies we already know to solve a new kind of problem is demonstrated again in solving a system of 3 linear equations in 3 variables. Have a look at www.adjectivenounmath.com.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Feb 1, 2011 Professor Herbert I. Gross
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Herb Gross introduces the topic of Systems of Equations in which there are two equations each of which has two variables. He shows how to solve such a system; i.e., find the value of each of the variables such that both equations are true simultaneously. Sometimes it is not possible to solve a system - either the equations are contradictory or do not admit a unique solution. Herb shows several examples of solutions techniques. To learn more about this topic, visit us at www.adjectivenounmath.com
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Jan 26, 2011 Professor Herbert I. Gross
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Herb Gross discusses Linear Functions (functions of the form f(x) = mx + b), graphs of ordered pairs that satisfy the function, the slope of the line that is the graph of the function and the y-intercept of the graph. Herb also covers the meaning of the absolute value of a number and uses that definition to graph the absolute value of a function. We invite you to see much more at www.adjectivenounmath.com.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Jan 26, 2011 Professor Herbert I. Gross
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Herb Gross defines inverse functions using the same ideas as in Lesson 17 on functions: Start with input x, apply function f, find the output y. Then use y as the input into a new program, the inverse program, which determines a new output which is the SAME as the original input, x. In other words, the inverse function undoes what the original function has done to the x. Herb supplies many familiar examples, including graphs, so that the new language becomes clear. This material and much more...
Topics: Classic Algebra, Math As A Second Language, Herb Gross
Community Video
Jan 26, 2011 Professor Herbert I. Gross
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Herb Gross introduces the exponential function, discussing the rate of growth of the output for each unit change in input and motivates the definition of the meaning of fractional exponents. Important applications are scientific notation and exponential growth of unfettered populations. Herb Gross describes the benefits of self-paced learning of Algebra and stresses the relevance of the topics that are covered in this course. This material and much more is also available online at...
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Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Jan 25, 2011 Professor Herbert I. Gross
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Herb Gross discusses linear functions - functions of the form f(x) = mx + b. The graphs of linear functions are described and defined in terms of the concepts of ordered pairs, slope and y-intercept. He defines the absolute value of number as the (non-negative) size of the number, regardless of its direction (positive or negative). Then Herb illustrates how to find the graph of y = |f(x)| if you know the graph of y = f(x). This material and much more is also available online at...
Topics: Classic Arithmetic, AdjectiveNounMath, Herb Gross
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Jan 25, 2011 Professor Herbert I. Gross
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Herb Gross defines the meaning and terminology of the mathematical concepts sets, functions and graphs. Functions are defined as the program in a process that takes an input, follows the program (rules) and produces an output. In this context, arithmetic is likened to knowing the input and program and determining the output; algebra is compared to knowing the output and the program and determining the input; finally Analytic Geometry is comparable to determining the function when you know the...
Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Jan 7, 2011 Professor Herbert I. Gross
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Herb Gross uses the rules of the Game of Algebra to change an unfamiliar problem into a familiar linear equation just like those solved in Part I. He introduces the idea of conditional, identity and inconsistent equations both algebraically and geometrically, reminding us that a picture is sometimes worth 1000 words. This material and much more is also available online at www.adjectivenounmath.com.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Jan 7, 2011 Professor Herbert I. Gross
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Herb Gross applies the rules of the Game of Algebra and shows us the winning strategy in the quest to solve the problem mx + b = nx + c. This material and much more is also available online at www.adjectivenounmath.com.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Jan 7, 2011 Professor Herbert I. Gross
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Herb Gross describes two examples of linear relationships and how they arose. The first is Gauss' formula for the sum of an arithmetic progression and the second is the Celsius/Farenheit conversion formula. You will be fascinated by their history and relevance. Herb Gross describes the benefits of self-paced learning of Algebra and stresses the relevance of the topics that are covered in this course. This material and much more is also available online at www.adjectivenounmath.com.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Jan 5, 2011 Professor Herbert I. Gross
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Herb Gross practices simplifying linear input/output programs using the rules of the Game of Arithmetic. He also illustrates the difference between Arithmetic (starting with the input, following the rules, determining the output) and Algebra (starting with the output, undoing the rules, determining the input). This material and much more is also available online at www.adjectivenounmath.com.
Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Jan 5, 2011 Professor Herbert I. Gross
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Herb Gross introduces Linear Relationships, the building blocks for more complex problems. The meaning of a linear relationship between input and output is: "When the input increases by 1 unit, the output changes by a fixed amount." The picture (graph) of a linear relationship is a straight line - hence its name! Then watch Herb match examples to the linear pattern y = mx + b. Herb Gross describes the benefits of self-paced learning of Algebra and stresses the relevance of the topics...
Topics: Classic Algebra, Math As A Second Language, Herb Gross
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Jan 1, 2011 Professor Herbert I. Gross
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Herb Gross applies the rules of the Game of Mathematics and illustrates the relationship of the rules to Algebra. See more at www.adjectivenounmath.com
Topics: Classic Algebra, Math As A Second Language, Herb Gross